Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032v |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
84672 = 26 · 33 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195,1048] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:42:1] |
Generators of the group modulo torsion |
j |
474552000/49 |
j-invariant |
L |
3.7999828746809 |
L(r)(E,1)/r! |
Ω |
3.2708556166542 |
Real period |
R |
1.1617702888909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4032s1 2016j2 4032w1 100800iz1 |
Quadratic twists by: -4 8 -3 5 |